Periodic orbits and invariant cones in three-dimensional piecewise linear systems

DOI10.3934/dcds.2015.35.59zbMath1308.34021OpenAlexW2327359917MaRDI QIDQ479959

Victoriano Carmona, Soledad Fernández-García, Emilio Freire

Publication date: 8 December 2014

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2015.35.59

zbMATH Keywords

periodic orbitsinvariant manifoldspiecewise linear systemsinvariant coneshalf-Poincaré maps

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Discontinuous ordinary differential equations (34A36) Invariant manifolds for ordinary differential equations (34C45)

Related Items (8)

The effect of coupling conditions on the stability of bimodal systems in \(\mathbb{R}^3\) ⋮ Bifurcation from Periodic Orbits of n-Dimensional Piecewise Smooth Differential Systems with Two Switching Planes ⋮ Bifurcation of limit cycles in piecewise-smooth systems with intersecting discontinuity surfaces ⋮ Existence and Stability of Invariant Cones in 3-Dim Homogeneous Piecewise Linear Systems with Two Zones ⋮ Periodic sinks and periodic saddle orbits induced by heteroclinic bifurcation in three-dimensional piecewise linear systems with two zones ⋮ Bifurcation of periodic orbits of a three-dimensional piecewise smooth system ⋮ On the Number of Invariant Cones and Existence of Periodic Orbits in 3-dim Discontinuous Piecewise Linear Systems ⋮ Existence of Invariant Cones in General 3-Dim Homogeneous Piecewise Linear Differential Systems with Two Zones

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